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photoshop1234 [79]
3 years ago
9

A thermometer is removed from a room where the temperature is 70° F and is taken outside, where the air temperature is 30° F. Af

ter one-half minute the thermometer reads 60° F. What is the reading of the thermometer at t = 1 min? (Round your answer to two decimal places.)

Mathematics
1 answer:
Slav-nsk [51]3 years ago
5 0

Answer: The reading of the thermometer at t = 1 min is 52.50 °F

Step-by-step explanation: Please see the attachments below

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Naya [18.7K]

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Step-by-step explanation:

The quadratic formula of a quadratic equation

ax^2+bx+c=0\\\\\text{If}\ b^2-4ac>0\ \text{then the equation has two solutions}\ x=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}

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\text{If}\ b^2-4ac

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x^2-3x-10=0\to a=1,\ b=-3,\ c=-10\\\\b^2-4ac=(-3)^2-4(1)(-10)=9+40=49>0\\\\x=\dfrac{-(-3)\pm\sqrt{49}}{2(1)}=\dfrac{3\pm7}{2}\\\\x=\dfrac{3-7}{2}=\dfrac{-4}{2}=-2\\or\\x=\dfrac{3+7}{2}=\dfrac{10}{2}=5

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Based only on the information given in the diagram, it is guaranteed that
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There are two pairs of congruent angles, meaning the triangles are similar by AA.

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